Elliptic curve search results

Results (20 matches)

  Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
8670.t1	8670t1	8670.t	8670t	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$376992$	$2.653370$	$4589352212399/72559411200$	$1.03977$	$6.07555$	$1$	$[1, 1, 1, 661515, 1062713115]$	\(y^2+xy+y=x^3+x^2+661515x+1062713115\)	6.2.0.a.1	$[ ]$	$1$
8670.u1	8670w1	8670.u	8670w	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{2} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.043517567$	$1$		$16$	$22176$	$1.236763$	$4589352212399/72559411200$	$1.03977$	$4.20083$	$1$	$[1, 0, 0, 2289, 216441]$	\(y^2+xy=x^3+2289x+216441\)	6.2.0.a.1	$[(66, 777)]$	$1$
26010.m1	26010p1	26010.m	26010p	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{17} \cdot 5^{2} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.891831886$	$1$		$2$	$3015936$	$3.202675$	$4589352212399/72559411200$	$1.03977$	$6.06739$	$1$	$[1, -1, 0, 5953635, -28687300475]$	\(y^2+xy=x^3-x^2+5953635x-28687300475\)	6.2.0.a.1	$[(5130, 367355)]$	$1$
26010.o1	26010u1	26010.o	26010u	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{17} \cdot 5^{2} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$2.222208628$	$1$		$2$	$177408$	$1.786068$	$4589352212399/72559411200$	$1.03977$	$4.39526$	$1$	$[1, -1, 0, 20601, -5843907]$	\(y^2+xy=x^3-x^2+20601x-5843907\)	6.2.0.a.1	$[(174, 1641)]$	$1$
43350.v1	43350h1	43350.v	43350h	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{8} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$4.456298182$	$1$		$2$	$532224$	$2.041481$	$4589352212399/72559411200$	$1.03977$	$4.47203$	$1$	$[1, 1, 0, 57225, 27055125]$	\(y^2+xy=x^3+x^2+57225x+27055125\)	6.2.0.a.1	$[(734, 21201)]$	$1$
43350.bc1	43350bm1	43350.bc	43350bm	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{8} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.556226879$	$1$		$8$	$9047808$	$3.458088$	$4589352212399/72559411200$	$1.03977$	$6.06416$	$1$	$[1, 0, 1, 16537874, 132806063648]$	\(y^2+xy+y=x^3+16537874x+132806063648\)	6.2.0.a.1	$[(3781, 497501)]$	$1$
69360.v1	69360cf1	69360.v	69360cf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{26} \cdot 3^{11} \cdot 5^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$532224$	$1.929911$	$4589352212399/72559411200$	$1.03977$	$4.16336$	$1$	$[0, -1, 0, 36624, -13852224]$	\(y^2=x^3-x^2+36624x-13852224\)	6.2.0.a.1	$[ ]$	$1$
69360.dc1	69360dy1	69360.dc	69360dy	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{26} \cdot 3^{11} \cdot 5^{2} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$2.386899366$	$1$		$2$	$9047808$	$3.346516$	$4589352212399/72559411200$	$1.03977$	$5.68836$	$1$	$[0, 1, 0, 10584240, -67992470892]$	\(y^2=x^3+x^2+10584240x-67992470892\)	6.2.0.a.1	$[(3426, 92160)]$	$1$
130050.el1	130050bh1	130050.el	130050bh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{17} \cdot 5^{8} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$72382464$	$4.007393$	$4589352212399/72559411200$	$1.03977$	$6.05818$	$1$	$[1, -1, 1, 148840870, -3585763718503]$	\(y^2+xy+y=x^3-x^2+148840870x-3585763718503\)	6.2.0.a.1	$[ ]$	$1$
130050.gw1	130050cg1	130050.gw	130050cg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{17} \cdot 5^{8} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.272449860$	$1$		$4$	$4257792$	$2.590786$	$4589352212399/72559411200$	$1.03977$	$4.61458$	$1$	$[1, -1, 1, 515020, -729973353]$	\(y^2+xy+y=x^3-x^2+515020x-729973353\)	6.2.0.a.1	$[(1439, 53955)]$	$1$
208080.r1	208080bt1	208080.r	208080bt	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{26} \cdot 3^{17} \cdot 5^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$72382464$	$3.895824$	$4589352212399/72559411200$	$1.03977$	$5.71632$	$1$	$[0, 0, 0, 95258157, 1835891972242]$	\(y^2=x^3+95258157x+1835891972242\)	6.2.0.a.1	$[ ]$	$1$
208080.gw1	208080bh1	208080.gw	208080bh	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{26} \cdot 3^{17} \cdot 5^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$4257792$	$2.479218$	$4589352212399/72559411200$	$1.03977$	$4.32814$	$1$	$[0, 0, 0, 329613, 373680434]$	\(y^2=x^3+329613x+373680434\)	6.2.0.a.1	$[ ]$	$1$
277440.j1	277440j1	277440.j	277440j	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{32} \cdot 3^{11} \cdot 5^{2} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$28.74085743$	$1$		$0$	$72382464$	$3.693089$	$4589352212399/72559411200$	$1.03977$	$5.39101$	$1$	$[0, -1, 0, 42336959, -543982104095]$	\(y^2=x^3-x^2+42336959x-543982104095\)	6.2.0.a.1	$[(4126339510368/20771, 7686554546966195515/20771)]$	$1$
277440.cs1	277440cs1	277440.cs	277440cs	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{32} \cdot 3^{11} \cdot 5^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$4257792$	$2.276482$	$4589352212399/72559411200$	$1.03977$	$4.03469$	$1$	$[0, -1, 0, 146495, 110671297]$	\(y^2=x^3-x^2+146495x+110671297\)	6.2.0.a.1	$[ ]$	$1$
277440.gw1	277440gw1	277440.gw	277440gw	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{32} \cdot 3^{11} \cdot 5^{2} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$6.133691850$	$1$		$2$	$72382464$	$3.693089$	$4589352212399/72559411200$	$1.03977$	$5.39101$	$1$	$[0, 1, 0, 42336959, 543982104095]$	\(y^2=x^3+x^2+42336959x+543982104095\)	6.2.0.a.1	$[(13442, 1882035)]$	$1$
277440.ji1	277440ji1	277440.ji	277440ji	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{32} \cdot 3^{11} \cdot 5^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$4257792$	$2.276482$	$4589352212399/72559411200$	$1.03977$	$4.03469$	$1$	$[0, 1, 0, 146495, -110671297]$	\(y^2=x^3+x^2+146495x-110671297\)	6.2.0.a.1	$[ ]$	$1$
346800.ff1	346800ff1	346800.ff	346800ff	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{26} \cdot 3^{11} \cdot 5^{8} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$20.89498281$	$1$		$0$	$217147392$	$4.151237$	$4589352212399/72559411200$	$1.03977$	$5.72768$	$1$	$[0, -1, 0, 264605992, -8499588073488]$	\(y^2=x^3-x^2+264605992x-8499588073488\)	6.2.0.a.1	$[(10139883173932/10969, 32658529488092953600/10969)]$	$1$
346800.gr1	346800gr1	346800.gr	346800gr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{26} \cdot 3^{11} \cdot 5^{8} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.197548254$	$1$		$4$	$12773376$	$2.734631$	$4589352212399/72559411200$	$1.03977$	$4.39509$	$1$	$[0, 1, 0, 915592, -1729696812]$	\(y^2=x^3+x^2+915592x-1729696812\)	6.2.0.a.1	$[(3718, 230400)]$	$1$
424830.gc1	424830gc1	424830.gc	424830gc	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{2} \cdot 7^{6} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$7318080$	$2.209717$	$4589352212399/72559411200$	$1.03977$	$3.84021$	$1$	$[1, 1, 1, 112160, -74127103]$	\(y^2+xy+y=x^3+x^2+112160x-74127103\)	6.2.0.a.1	$[ ]$	$1$
424830.gr1	424830gr1	424830.gr	424830gr	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{2} \cdot 7^{6} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.548456826$	$1$		$6$	$124407360$	$3.626324$	$4589352212399/72559411200$	$1.03977$	$5.15194$	$1$	$[1, 0, 0, 32414234, -364413355804]$	\(y^2+xy=x^3+32414234x-364413355804\)	6.2.0.a.1	$[(19676, 2799242)]$	$1$

  Download displayed columns for results to